### AMCAT Quantitative Aptitude Previous Years Question answers with Solutions

Ques 1 : Choose the correct answer.

If the sum of two numbers is 55 and the H.C.F. and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

Option 1 : 55/601

Option 2 : 601/55

Option 3 : 11/120

Option 4 : 120/11

Correct Answer :11/120

Ques 2 : Choose the correct answer.

Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly ?

Option 1 : 1 litre

Option 2 : 7 litre

Option 3 : 31 litre

Option 4 : 41 litre

Correct Answer :31 Liters

Ques 3 : Choose the correct answer.

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

Option 1 : 4

Option 2 : 10

Option 3 : 15

Option 4 : 16

Correct Answer : 16

Ques 4 : Choose the correct answer.

Four different electronic devices make a beep after every 30 minutes, 1 hour, 3/2 hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at:

Option 1 : 12 midnight

Option 2 : 3 a.m.

Option 3 : 6 a.m.

Option 4 : 9 a.m.

Correct Answer : 9am

Ques 5 : Choose the correct answer.

The number of prime factors of (3 x 5)12 (2 x 7)10 (10)25 is:

Option 1 : 47

Option 2 : 60

Option 3 : 72

Option 4 : None of these

Correct Answer : None Of These

If the sum of two numbers is 55 and the H.C.F. and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

Option 1 : 55/601

Option 2 : 601/55

Option 3 : 11/120

Option 4 : 120/11

Correct Answer :11/120

Ques 2 : Choose the correct answer.

Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly ?

Option 1 : 1 litre

Option 2 : 7 litre

Option 3 : 31 litre

Option 4 : 41 litre

Correct Answer :31 Liters

Ques 3 : Choose the correct answer.

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

Option 1 : 4

Option 2 : 10

Option 3 : 15

Option 4 : 16

Correct Answer : 16

Ques 4 : Choose the correct answer.

Four different electronic devices make a beep after every 30 minutes, 1 hour, 3/2 hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at:

Option 1 : 12 midnight

Option 2 : 3 a.m.

Option 3 : 6 a.m.

Option 4 : 9 a.m.

Correct Answer : 9am

Ques 5 : Choose the correct answer.

The number of prime factors of (3 x 5)12 (2 x 7)10 (10)25 is:

Option 1 : 47

Option 2 : 60

Option 3 : 72

Option 4 : None of these

Correct Answer : None Of These

Ques 6 : Choose the correct answer.

What least value must be assigned to * so that the number 63576*2 is divisible by 8?

Option 1 : 1

Option 2 : 2

Option 3 : 3

Option 4 : 4

Correct Answer :3

Ques 7 : Choose the correct answer.

Which of the following numbers is exactly divisible by 24 ?

Option 1 : 35718

Option 2 : 63810

Option 3 : 537804

Option 4 : 3125736

Correct Answer :3125736

Ques 8 : Choose the correct answer.

The number nearest to 15207, which is divisible by 467, is:

Option 1 : 14342

Option 2 : 15211

Option 3 : 14944

Option 4 : 15411

Option 5 : None of these

Correct Answer :15411

Ques 9 : Choose the correct answer.

The smallest number, which is a perfect square and contains 7936 as a factor is:

Option 1 : 251664

Option 2 : 231564

Option 3 : 246016

Option 4 : 346016

Option 5 : None of these

Correct Answer :246016

Ques 10 : Choose the correct answer.

In a division problem, the divisor is twenty times the quotient and five times the remainder. If remainder is 16, the number will be:

Option 1 : 3360

Option 2 : 336

Option 3 : 1616

Option 4 : 20516

Option 5 : None of these

Correct Answer :336

Ques 11 : Choose the correct answer.

The L.C.M. of two numbers is 4800 and their G.C.M. is 160. If one of the numbers is 480, then the other number is:

Option 2 : 1800

Option 3 : 2200

Option 4 : 2600

Option 5 : None of these

Ques 12 : Choose the correct answer.

The L.C.M. of two numbers is 140. If their ratio is 2:5, then the numbers are:

Option 2 : 28,7

Option 3 : 8,70

Option 4 : 8,40

Option 5 : None of these

Ques 13 : Choose the correct answer.

If a number is exactly divisible by 85, then what will be the remainder when the same number is divided by 17?

Option 1 : 3

Option 2 : 1

Option 3 : 4

Ques 14 : Choose the correct answer.

The least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:

Option 1 : 8100

Option 2 : 17600

Option 4 : None of these

Ques 15 : Choose the correct answer.

(xn+yn) is divisible by (x-y):

Option 1 : for all values of n

Option 2 : only for even values of n

Option 3 : only for odd values of n

Ques 16 : Choose the correct answer.

The greatest number that will divide 63, 138 and 228 so as to leave the same remainder in each case:

Option 2 : 20

Option 3 : 35

Option 4 : 40

Ques 17 : Choose the correct answer.

Find the largest number, smaller than the smallest four-digit number, which when divided by 4,5,6 and 7 leaves a remainder 2 in each case.

Option 1 : 422

Option 3 : 12723

Option 4 : None of these

Ques 18 : Choose the correct answer.

What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?

Option 2 : 12

Option 3 : 14

Option 4 : None of these

Ques 19 : Choose the correct answer.

If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by:

Option 1 : 3 but not by 9

Option 3 : 6

Option 4 : 27

Ques 20 : Choose the correct answer.

What is the greatest positive power of 5 that divides 30! exactly?

Option 1 : 5

Option 2 : 6

Option 4 : 8

The L.C.M. of two numbers is 4800 and their G.C.M. is 160. If one of the numbers is 480, then the other number is:

**Option 1 : 1600**Option 2 : 1800

Option 3 : 2200

Option 4 : 2600

Option 5 : None of these

Ques 12 : Choose the correct answer.

The L.C.M. of two numbers is 140. If their ratio is 2:5, then the numbers are:

**Option 1 : 28,70**Option 2 : 28,7

Option 3 : 8,70

Option 4 : 8,40

Option 5 : None of these

Ques 13 : Choose the correct answer.

If a number is exactly divisible by 85, then what will be the remainder when the same number is divided by 17?

Option 1 : 3

Option 2 : 1

Option 3 : 4

**Option 4 : 0**Ques 14 : Choose the correct answer.

The least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:

Option 1 : 8100

Option 2 : 17600

**Option 3 : 44100**Option 4 : None of these

Ques 15 : Choose the correct answer.

(xn+yn) is divisible by (x-y):

Option 1 : for all values of n

Option 2 : only for even values of n

Option 3 : only for odd values of n

**Option 4 : for no values of n**Ques 16 : Choose the correct answer.

The greatest number that will divide 63, 138 and 228 so as to leave the same remainder in each case:

**Option 1 : 15**Option 2 : 20

Option 3 : 35

Option 4 : 40

Ques 17 : Choose the correct answer.

Find the largest number, smaller than the smallest four-digit number, which when divided by 4,5,6 and 7 leaves a remainder 2 in each case.

Option 1 : 422

**Option 2 : 842**Option 3 : 12723

Option 4 : None of these

Ques 18 : Choose the correct answer.

What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?

**Option 1 : 10**Option 2 : 12

Option 3 : 14

Option 4 : None of these

Ques 19 : Choose the correct answer.

If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by:

Option 1 : 3 but not by 9

**Option 2 : 9**Option 3 : 6

Option 4 : 27

Ques 20 : Choose the correct answer.

What is the greatest positive power of 5 that divides 30! exactly?

Option 1 : 5

Option 2 : 6

**Option 3 : 7**Option 4 : 8

Ques 21 : Choose the correct answer.

In how many ways can a number 6084 be written as a product of two different factors ?

Option 1 : 27

In how many ways can a number 6084 be written as a product of two different factors ?

Option 1 : 27

Option 2 : 26

**Option 3 : 13**

Option 4 : 14

Ques 22 : Choose the correct answer.

What is the smallest four-digit number which when divided by 6, leaves a remainder of 5 and when divided by 5 leaves a remainder of 3?

Option 1 : 1043

Ques 22 : Choose the correct answer.

What is the smallest four-digit number which when divided by 6, leaves a remainder of 5 and when divided by 5 leaves a remainder of 3?

Option 1 : 1043

Option 2 : 1073

Option 3 : 1103

**Option 4 : None of these**

Ques 23 : Choose the correct answer.

P is an integer. P>883. If P-7 is a multiple of 11, then the largest number that will always divide (P+4) (P+15) is:

Option 1 : 11

Option 2 : 121

**Option 3 : 242**

Option 4 : None of these

Ques 24 : Choose the correct answer.

Let C be a positive integer such that C + 7 is divisible by 5. The smallest positive integer n (>2) such that C + n2 is divisible by 5 is:

Option 1 : 4

Ques 24 : Choose the correct answer.

Let C be a positive integer such that C + 7 is divisible by 5. The smallest positive integer n (>2) such that C + n2 is divisible by 5 is:

Option 1 : 4

Option 2 : 5

Option 3 : 3

**Option 4 : Does not exist**

Ques 25 : Choose the correct answer.

Four bells begin to toll together and then each one at intervals of 6 s, 7 s, 8 s and 9 s respectively. The number of times they will toll together in the next 2 hr is:

**Option 1 : 14 times**

Option 2 : 15 times

Option 3 : 13 times

Option 4 : 11 times

Ques 26 : Choose the correct answer.

The product of two numbers is 16200. If their LCM is 216, find their HCF.

Ques 26 : Choose the correct answer.

The product of two numbers is 16200. If their LCM is 216, find their HCF.

**Option 1 : 75**
Option 2 : 70

Option 3 : 80

Option 4 : Data inconsistent

Ques 27 : Choose the correct answer.

There are four prime numbers written in ascending order of magnitude. The product of first three is 385 and that of last three is 1001. Find the first number.

Ques 27 : Choose the correct answer.

There are four prime numbers written in ascending order of magnitude. The product of first three is 385 and that of last three is 1001. Find the first number.

**Option 1 : 5**
Option 2 : 7

Option 3 : 11

Option 4 : 17

Ques 28 : Choose the correct answer.

M and N are two distinct natural numbers. HCF and LCM of M and N are K and L respectively. A is also a natural number, which of the following relations is not possible?

Option 1 : K*L=A

Ques 28 : Choose the correct answer.

M and N are two distinct natural numbers. HCF and LCM of M and N are K and L respectively. A is also a natural number, which of the following relations is not possible?

Option 1 : K*L=A

Option 2 : K*A=L

**Option 3 : L*A=K**

Option 4 : None of these

Ques 29 : Choose the correct answer.

On dividing a number by 999,the quotient is 366 and the remainder is 103.The number is:

Option 1 : 364724

Ques 29 : Choose the correct answer.

On dividing a number by 999,the quotient is 366 and the remainder is 103.The number is:

Option 1 : 364724

Option 2 : 365387

**Option 3 : 365737**

Option 4 : 366757

Ques 30 : Choose the correct answer.

The difference between two numbers is 1365.When the larger number is divided by the smaller one ,the quotient is 6 and the remainder is 15.The smaller number is:

Option 1 : 240

Ques 30 : Choose the correct answer.

The difference between two numbers is 1365.When the larger number is divided by the smaller one ,the quotient is 6 and the remainder is 15.The smaller number is:

Option 1 : 240

**Option 2 : 270**

Option 3 : 295

Option 4 : 360